Write the given linear system in matrix form. Assume X =X' =X351dxdtdydtdzdt= −3x + 4y + e¯t sin(2t)=5x + 9z+ 4e¯t cos(2t)= y + 8z - e-t49814-1X +(:))

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Answered: Write the given linear system in matrix…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Write the given linear system in matrix form. Assume X = X' = X 3 5 1 dx dt dy dt dz dt = −3x + 4y + e¯t sin(2t) = 5x + 9z+ 4e¯t cos(2t) = y + 8z - e-t 4 9 8 1 4 -1 X + (:))